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Finding the Fourth Proportional to 8,495.43, 12,718.50 and 5,198.46

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Solution

The fourth proportional to 8,495.43, 12,718.50 and 5,198.46 is: 7,782.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,495.43 : 12,718.50 = 5,198.46 : x
  2. Step 2: Convert to fraction form
    8,495.43/12,718.50 = 5,198.46/x
  3. Step 3: Cross multiply
    8,495.43x = 12,718.50 × 5,198.46
  4. Step 4: Simplify right side
    8,495.43x = 66,116,613.51
  5. Step 5: Solve for x
    x = 66,116,613.51/8,495.43
  6. Step 6: Final answer
    x = 7,782.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.